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Leading order quark–antiquark–W-boson vertex in the presence of a magnetic field

Alejandro Ayala1,*, Alejandro López2,†, Ana Julia Mizher2,‡, Manuel Emiliano Monreal Cancino3,§, and Norberto Scoccola4,5,∥

  • *Contact author: ayala@nucleares.unam.mx
  • †Contact author: aleh.lopezg@gmail.com
  • ‡Contact author: anamizher@gmail.com
  • §Contact author: emilianomonreal@ciencias.unam.mx
  • ∥Contact author: scoccola@gmail.com
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Phys. Rev. D 114, 073005 – Published 29 October, 2026

DOI: https://doi.org/10.1103/wj7w-m4nc

Abstract

We compute the leading order modification to the quark–antiquark–W-boson vertex in the presence of a constant and uniform magnetic field, specifically for the case where the quark and antiquark are the u and d¯, respectively. We find the selection rules for transitions where the u, d¯, and W boson occupy arbitrary Landau levels. We show that, for the particular case where the initial particles each occupy the lowest Landau level, the W+ is also produced in the lowest Landau level with a single polarization aligned with the magnetic field. We also illustrate the general findings by computing the case of transitions between low-lying Landau levels and show the correspondence between the polarization vectors for the W boson and the polarization states for the quark and the antiquark.

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Phys. Rev. D 114, 073005– Published 29 October, 2026
  • Received 20 August 2026
  • Accepted 22 September 2026
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